A292648 Rank of Pi*n when all the numbers Pi*j and (Pi+1)*k, for j>=1, k>=1, are jointly ranked.

1, 3, 5, 7, 8, 10, 12, 14, 15, 17, 19, 21, 22, 24, 26, 28, 29, 31, 33, 35, 36, 38, 40, 42, 43, 45, 47, 49, 50, 52, 54, 56, 58, 59, 61, 63, 65, 66, 68, 70, 72, 73, 75, 77, 79, 80, 82, 84, 86, 87, 89, 91, 93, 94, 96, 98, 100, 101, 103, 105, 107, 109, 110, 112

Offset

1,2

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Formula

a(n) = k*n + O(1), where k = 2 - 1/(Pi + 1) = 1.7585.... - Charles R Greathouse IV, Mar 13 2018

Mathematica

z = 120; r = Pi; s = Pi+1;
Table[n + Floor[n*r/s], {n, 1, z}]  (* A292648 *)
Table[n + Floor[n*s/r], {n, 1, z}]  (* A292649 *)

Prog

(PARI) a(n)=n*Pi\(Pi+1) + n \\ Charles R Greathouse IV, Mar 13 2018

Crossrefs

Cf. A292649 (complement).

Sequence in context: A184626 A047392 A330117 * A187330 A059546 A284366

Adjacent sequences: A292645 A292646 A292647 * A292649 A292650 A292651

Keyword

nonn,easy

Author

Clark Kimberling, Sep 26 2017

Status

approved